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Consider the following utility functions:U(x, y) = xyU(x,y) = 3x + 6yU(x,y) = 20x1/2+ 2y
a. Fixing y at 4, what is the marginal utility of X when x is 10, 20, and 30 for each utility function?
b. Do these utility functions exhibit diminishing marginal utility of X? Explain.
c. For each utility function, calculate the marginal rate of substitution of good X for good Y (i.e. -marginal value of X, measured in units of good Y) associated with the bundle (x, y) = (10, 4).
d. Do these utility functions exhibit diminishing marginal rates of substitution? Explain.
Casper's utility function is 3x + y, where x is his consumption of cocoa and y is his consumption of cheese. If the total cost of x units of cocoa is x^2, the price of cheese is $8, and Casper's income is $174, how many units of cocoa will he cons..
Suppose that the current market price of VCRs is $300, that average consumer disposable income is $30,000, and that the price of DVD players (a substitute for VCRs) is $500. Under these conditions annual U.S. demand for VCRs is 5 million per year.
At its current level of production, a profit-maximizing firm in a competitive market receives $12.50 for each unit it produces and faces an average total cost of $10. At the market price of $12.50 per unit, the firm's marginal cost curve.
Consider a labour market in which the supply curve is given by: w= 10 + Ls (where w is the wage rate and Ls is the quantity of labour supplied). Further, assume that the demand for labour is given by w = 100 - Ld (where w is the wage rate and Ld i..
given the following equations for the aggregate demand (AD) and short-run aggregate supply (SAS) curves. AD: Y = 1.25Ap + 2.5Ms/P SAS: Y = 11,250 -20W + 1,000P Where Y is real GDP, Ap is the amount of autonomous planned spending that is independen..
The Teenager Company makes and sells skateboards at an average price of $70 each. During the past year they sold 4000 of these skateboards. The company bellieves that the price elasticity for this product is about -2.5.
A firm called Altobella Vineyard produces Concord grapes in a perfectly competitive market in which monthly demand is given by the equation Q = 1800 - 16P and monthly supply by the equation Q = -660 + 14P, where P is the price per crate of grapes.
When a recession is over, do people start to immediately feel affects of an efficient economy? Use the experience of most recent recession to justify your answer.
Suppose that the rural part of a country is hit by a major earthquake that destroys 10% of the countries housing stock. The government and private sector respond with a major construction effort to help rebuild houses. Discuss how this episode is ..
Karla wants to grow spinach. 1 pound of Fertilizer(F) produces 20 spinach or 1 pound of Manure(M) produces 30 spinach. They are perfect substitutes. So we know Q=20F+30M Now Karla wants to produce 300 spinach at the least possible cost.
The Charm City Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet.
Suppose that investment demand increases by $100. Assume that households have a marginal propensity to consume of 80 percent. Compute the first three rounds of multiplier effects as follows: a) What are the first cycle changes in spending? Total cu..
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